Combinatorial stress ledger S226-0 models Contra D'Alembert Press versus Flat 1-Unit Baseline across 288 coups (180u bankroll, 100u max bet), demonstrating that 1.4579% house edge and 12-hand runs enforce 17.63% vs 9.17% ruin along the absorbing-barrier dispersion. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S226 (Contra D'Alembert vs Flat Betting, Four-Shoe 12-Run Volatility under No-Commission Banker 6). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S226 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 288 hands.
Probability of exhausting the 180-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 288 coups.
Deepest unit trough triggered by a 12-hand run inside the streak shoe profile.
Reflects 9.03% tie frequency (26 pushes) and 4.54u in vigorish friction.
Head-to-head matrix S226-1 subjects Contra D'Alembert (+1 on win / -1 on loss) and Flat Betting (1-1-1-1 constant unit) to 288 hands of 4-Shoe Streak (streak) with 180 units and a 100-unit roof, measures 7.32u versus 4.37u in mathematical house hold and 17.63% versus 9.17% ruin.
Combinatorial stress ledger S226-2 dissects Contra D'Alembert Press versus Flat 1-Unit Baseline across 288 coups (180u bankroll, 100u max bet), demonstrating that 1.4579% house edge and 12-hand runs enforce 17.63% vs 9.17% ruin along the eight-deck distribution.
| S226 dispersion | Contra D'Alembert | Flat Betting |
|---|---|---|
| Contra D'Alembert / Flat Betting Rule | +1 on win / -1 on loss | 1-1-1-1 constant unit |
| 288-Hand Ruin (180u) | 17.63% | 9.17% |
| 4-Shoe Streak Hold (1.4579%) | 7.32u | 4.37u |
| 12-Run Trough (100u Cap) | -46u | -21u |
Head-to-head matrix S226-3 subjects Contra D'Alembert (+1 on win / -1 on loss) and Flat Betting (1-1-1-1 constant unit) to 288 hands of 4-Shoe Streak (streak) with 180 units and a 100-unit roof, quantifies 7.32u versus 4.37u in mathematical house hold and 17.63% versus 9.17% ruin.
Combinatorial stress ledger S226-4 computes Contra D'Alembert Press versus Flat 1-Unit Baseline across 288 coups (180u bankroll, 100u max bet), demonstrating that 1.4579% house edge and 12-hand runs enforce 17.63% vs 9.17% ruin along the step-indexed envelope.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.